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Finding the Fourth Proportional to 351.80, 527.88 and 230.12

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Solution

The fourth proportional to 351.80, 527.88 and 230.12 is: 345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.80 : 527.88 = 230.12 : x
  2. Step 2: Convert to fraction form
    351.80/527.88 = 230.12/x
  3. Step 3: Cross multiply
    351.80x = 527.88 × 230.12
  4. Step 4: Simplify right side
    351.80x = 121,475.75
  5. Step 5: Solve for x
    x = 121,475.75/351.80
  6. Step 6: Final answer
    x = 345.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.